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Finding the Third Proportional to 238,539 and 505,518

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Solution

The third proportional to 238,539 and 505,518 is: 1,071,306.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,539 : 505,518 = 505,518 : x
  2. Step 2: Convert to fraction form
    238,539/505,518 = 505,518/x
  3. Step 3: Cross multiply
    238,539x = 505,518 × 505,518
  4. Step 4: Simplify right side
    238,539x = 255,548,448,324
  5. Step 5: Solve for x
    x = 255,548,448,324/238,539
  6. Step 6: Final answer
    x = 1,071,306.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.